Article citationsMore>>

Y. P. Fang and N. J. Huang, “ -Accretive Operator and Resolvent Operator Technique for Solving Variational Inclusions in Banach Spaces,” Applied Mathematics Letters, Vol. 17, No. 6, 2004, pp. 647-653. doi:10.1016/S0893-9659(04)90099-7

has been cited by the following article:

• TITLE: H(.,.)- φ - η - Accretive Operators and Generalized Variational-Like Inclusions

  AUTHORS: Rais Ahmad, Mohammad Dilshad

  KEYWORDS: H(., .)- φ - η - Accretive Operator, Variational-Like Inclusion, Resolvent Operator, Algorithm, Convergence

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.4, December 5, 2011

  ABSTRACT: In this paper, we generalize H(.,.) accretive operator introduced by Zou and Huang [1] and we call it H(.,.)- φ - η - accretive operator. We define the resolvent operator associated with H(.,.)- φ - η - accretive operator and prove its Lipschitz continuity. By using these concepts an iterative algorithm is suggested to solve a generalized variational-like inclusion problem. Some examples are given to justify the definition of H(.,.)- φ - η - accretive operator.